Device for supplying pressurized cryogenic fluid comprising a thermally insulated container consisting of an inner tank (2) delimiting a volume designed to store cryogenic liquid to be pumped, for example liquid hydrogen, and an outer tank (3) arranged about the inner tank (2) and delimiting a sealed volume about the inner tank (2), when the device (1) is in the usage state, the inner tank (2) and the outer tank (3) extending vertically and being closed at the top end thereof by a set of covers (11, 12, 13), the device (1) comprising a pumping system (9, 10) mounted on the set of covers (11, 12, 13) and comprising a lower end seated in the volume delimited by the inner tank (2) and designed to pump the cryogenic liquid therein, the device (1) further comprising a cryogenic liquid feed circuit (4) designed to supply the inner tank (2) with cryogenic fluid and a delivery circuit (7) designed to transfer the cryogenic liquid pumped by the pumping system (9, 10) out of the inner tank (2), characterized in that the pumping system comprises two piston pumps (9, 10) actuated by an actuator (19), preferably a linear actuator, the two piston pumps being connected in parallel to the delivery circuit (7) and designed to be actuated in an offset manner to ensure a continuous flow of cryogenic liquid pumped through the delivery circuit (7), i.e. the two alternating pumps (9, 10) are used in parallel and form a single compression stage delivering a continuous flow at constant pressure.